An Introduction to Programming and Numerical Methods in MATLAB

Description

MATLAB is a powerful programme, which naturally lends itself to the rapid implementation of most numerical algorithms. This text, which uses MATLAB, gives a detailed overview of structured programming and numerical methods for the undergraduate student.

The book covers numerical methods for solving a wide range of problems, from integration to the numerical solution of differential equations or the simulation of random processes. Each chapter includes extensive examples and tasks, at varying levels of complexity. For practice, the early chapters include programmes that require debugging by the reader, while full solutions are given for all the tasks. The book also includes:

a glossary of MATLAB commands

appendices of mathematical techniques used in numerical methods.

Designed as a text for a first course in programming and algorithm design, as well as in numerical methods courses, the book will be of benefit to a wide range of students from mathematics and engineering, to commerce.

 

描述

MATLAB是一個強大的程式，自然而然地適用於大多數數值演算法的快速實現。這本使用MATLAB的書籍為大學生提供了結構化編程和數值方法的詳細概述。

本書涵蓋了解決各種問題的數值方法，從積分到數值解微分方程或模擬隨機過程。每章都包含大量的例子和任務，難度各不相同。為了練習，早期章節包含需要讀者進行調試的程式，而所有任務都提供完整的解答。本書還包括：

- MATLAB命令詞彙表
- 數值方法中使用的數學技巧附錄

本書旨在作為編程和算法設計的第一門課程的教材，以及數值方法課程的教材，將對從數學和工程到商業的各種學生有益。

目錄

- 使用MATLAB進行簡單計算
- 編寫腳本和函數
- 循環和條件語句
- 根的求解
- 插值和外推
- 矩陣
- 數值積分
- 解微分方程
- 模擬和隨機數
- 附錄
- 一個關於矩陣的數學介紹
- 有用術語詞彙表
- 任務的解答